Question: The following is an optimal simplex tableau for a maximization problem having all ? constraints: a. Give the optimal solution. b. Give the optimal dual

The following is an optimal simplex tableau for a maximization problem having all ? constraints:

N X1 x3 x5 N 1 0 0 0 X1 0 1

a. Give the optimal solution.

b. Give the optimal dual solution.

c. Find ?z / ?b 1 Interpret this number.

d. Find ?x 1 / ?b 6 Interpret this number.

N X1 x3 x5 N 1 0 0 0 X1 0 1 0 0 x2 0 1 0 -2 X3 0 0 1 0 X4 SLACKS x5 3 x6 0 5 2 0 1 1 0 -1 1 4 3 RHS 0 2 221 2

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